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Finding the Fourth Proportional to 331.34, 456.30 and 289.89

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Solution

The fourth proportional to 331.34, 456.30 and 289.89 is: 399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.34 : 456.30 = 289.89 : x
  2. Step 2: Convert to fraction form
    331.34/456.30 = 289.89/x
  3. Step 3: Cross multiply
    331.34x = 456.30 × 289.89
  4. Step 4: Simplify right side
    331.34x = 132,276.81
  5. Step 5: Solve for x
    x = 132,276.81/331.34
  6. Step 6: Final answer
    x = 399.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.